10) Consider the piecewise smooth curve C=C1 U C2 U C3 U C4, oriented from point A (0, 1, 4) to point B (4, 1, 1), shown in the figure below: If F = (2x, -2z, -2y + 3z²), then the if F F.dr is: value of A) 41 B) -52 C) 52 D) -41 z=4-x² x 2 B(4, 1, 1) A(0, 1,4) CA C3 C₂ x+y+z=6 Y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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10) Consider the piecewise smooth
curve C=C1 U C2 U C3 U C4,
oriented from point A (0, 1, 4) to point
B (4, 1, 1), shown in the figure below:
If F = (2x, −2z, -2y + 3z²), then the
value of
F. dr is:
F/F
A) 41
B) -52
C) 52
D) -41
z=4-x²
x
N
B(4, 1, 1)
A(0, 1,4)
CA
C3
C₂
x+y+z=6
Y
Transcribed Image Text:10) Consider the piecewise smooth curve C=C1 U C2 U C3 U C4, oriented from point A (0, 1, 4) to point B (4, 1, 1), shown in the figure below: If F = (2x, −2z, -2y + 3z²), then the value of F. dr is: F/F A) 41 B) -52 C) 52 D) -41 z=4-x² x N B(4, 1, 1) A(0, 1,4) CA C3 C₂ x+y+z=6 Y
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